Homework+12 (1) - Chemical Engineering 142 Homework Set#12...

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Chemical Engineering 142 Homework Set #12 100 points total Due Wednesday, April 28, 2010 Problem 1 (60 points) The gas-phase reaction, , takes place in a CSTR at steady state. Spherical pellets catalyze the reaction and the kinetics can be described by the rate expression below. (a) Your colleague (from Stanford) is worried about external heat and mass transfer limitations in this system. Use the Mears’ criteria (n = 1) to verify that external heat and mass transfer resistances are negligible. (b) Generate plots of the temperature profile and concentration profile for C A inside the spherical particle. Hint: You can solve a second-order ODE in Polymath if you make a substitution like the following: The second-order ODE: d 2 Y/dx 2 = dY/dx + constant can be rewritten as two first-order ODEs by defining Z = dY/dx. Then, the resulting equations are: (1) dY/dx = Z and (2) dZ/dx = Z + constant. Normally, you would solve this as a boundary-value problem, using one boundary condition at the center and one at the surface.
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